Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.
(a) The characteristic equation for
is
which arises from the ansatz 
.
The characteristic roots are 
and 
. Then the general solution is
where 
are arbitrary constants.
(b) The characteristic equation here is
with a root at 
of multiplicity 2. Then the general solution is
(c) The characteristic equation is
with roots at 
, where 
. Then the general solution is
Recall Euler's identity,
Then we can rewrite the solution as
or even more simply as
Total Depravity, Unconditional Election, Limited Atonement, Irresistible Grace, and Perseverance of the Saints
Answer:
You go to your normal high school class, but the credit that you earn for it will transfer to the community college.
Explanation:
In an Articulated Credit program, you take classes in your regular high school in order to earn college credit.
Relationship Perceptions. Sometimes a perception can be formed that there is a relationship between events, actions and behaviors when, in fact, no relationship exists. Some examples<span> of </span>illusory correlation<span> include: A man holds the belief that people in urban environments tend to be rude.</span>
